Evaluate log base 2 of 8.

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Multiple Choice

Evaluate log base 2 of 8.

Explanation:
Logarithms answer the question of what exponent we must raise the base to in order to get the given number. For log base 2 of 8, we look for x such that 2^x = 8. Since 8 is 2 raised to the 3rd power (2^3 = 8), the exponent is 3. So log_2(8) = 3. Using the property log_b(b^k) = k confirms this directly: 8 = 2^3, so the result is 3.

Logarithms answer the question of what exponent we must raise the base to in order to get the given number. For log base 2 of 8, we look for x such that 2^x = 8. Since 8 is 2 raised to the 3rd power (2^3 = 8), the exponent is 3. So log_2(8) = 3. Using the property log_b(b^k) = k confirms this directly: 8 = 2^3, so the result is 3.

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